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205703740 = 225111755001
BaseRepresentation
bin11000100001011…
…00101000111100
3112100001211111001
430100230220330
5410130004430
632224540044
75045311234
oct1420545074
9470054431
10205703740
11a61292a0
1258a81624
13338034b8
141d468cc4
15130d43ca
hexc42ca3c

205703740 has 48 divisors (see below), whose sum is σ = 498978144. Its totient is φ = 70400000.

The previous prime is 205703717. The next prime is 205703749. The reversal of 205703740 is 47307502.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 205703699 and 205703708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205703749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23761 + ... + 31240.

It is an arithmetic number, because the mean of its divisors is an integer number (10395378).

Almost surely, 2205703740 is an apocalyptic number.

205703740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205703740 is an abundant number, since it is smaller than the sum of its proper divisors (293274404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205703740 is a wasteful number, since it uses less digits than its factorization.

205703740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55038 (or 55036 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 205703740 is about 14342.3756749013. The cubic root of 205703740 is about 590.3108005299.

It can be divided in two parts, 20570 and 3740, that added together give a triangular number (24310 = T220).

The spelling of 205703740 in words is "two hundred five million, seven hundred three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 55001 110002 220004 275005 550010 605011 935017 1100020 1210022 1870034 2420044 3025055 3740068 4675085 6050110 9350170 10285187 12100220 18700340 20570374 41140748 51425935 102851870 205703740